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Wavelets and Lattice Field Theory. [PDF]
EPJ Web of Conferences, 2018 When continuous fields are expanded in a wavelet basis, a D-dimensional continuum action becomes a (D+1)-dimensional lattice action on the naively discretized Poincare-patch coordinates of an Euclidean AdS(D+1).
Neuberger Herbert
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A Gentle Introduction to Lattice Field Theory [PDF]
EntropyThe principles of Lattice Field Theory (LFT), in particular Lattice Gauge Theory (LGT), are explained for a nonspecialist audience. We describe some of the successes of the program; we also discuss the relationship between LFT and Quantum Cellular ...
Erhard Seiler
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Neural Activity in Quarks Language: Lattice Field Theory for a Network of Real Neurons. [PDF]
Entropy (Basel), 2023 Brain–computer interfaces have seen extraordinary surges in developments in recent years, and a significant discrepancy now exists between the abundance of available data and the limited headway made in achieving a unified theoretical framework.
Bardella G +7 more
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Lattice field theory with torsion [PDF]
Physical Review D, 2019 Inspired by the duality between gravity and defects in crystals, we study lattice field theory with torsion. The torsion is realized by a line defect of a lattice, namely a dislocation. As the first application, we perform the numerical computation for vector and axial currents induced by a screw dislocation.
Shota Imaki, Arata Yamamoto
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Control variates for lattice field theory [PDF]
Physical Review D, 2023 In most lattice field theories, correlators are plagued by a signal-to-noise problem of exponential difficulty in the time separation. We propose a method for improving the signal-to-noise ratio, in which control variates are systematically constructed from lattice Schwinger-Dyson relations.
Tanmoy Bhattacharya +2 more
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Variational structure of Luttinger-Ward formalism and bold diagrammatic expansion for Euclidean lattice field theory. [PDF]
Proc Natl Acad Sci U S A, 2018 Significance Many-body perturbation theory is one of the pillars of quantum many-body physics and has been used extensively to predict ground-state and excited-state electronic properties of real materials in the past few decades.
Lin L, Lindsey M.
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Diffusion models as stochastic quantization in lattice field theory [PDF]
Journal of High Energy Physics, 2023 In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ). The DM is realized by approximating the reversal of a stochastic process dictated by the Langevin equation, generating samples from
L. Wang, G. Aarts, K. Zhou
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Lattice improvement in lattice effective field theory [PDF]
The European Physical Journal A, 2018 Lattice calculations using the framework of effective field theory have been applied to a wide range few-body and many-body systems. One of the challenges of these calculations is to remove systematic errors arising from the nonzero lattice spacing. Fortunately, the lattice improvement program pioneered by Symanzik provides a formalism for doing this ...
Dean Lee +3 more
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, 2000 The Feynman diagram expansion of relativistic field theories gives rise to integrals that diverge at short distances or equivalently at large momenta. To have a well-defined theory we need to regulate these divergences. There are many ways to do this, but one that has both practical and conceptual advantages is to put the theory on a discrete space ...
R.D. Kenway
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Parafermionic conformal field theory on the lattice [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 Finding the precise correspondence between lattice operators and the continuum fields that describe their long-distance properties is a largely open problem for strongly interacting critical points. Here we solve this problem essentially completely in the case of the three-state Potts model, which exhibits a phase transition described by a strongly ...
Paul Fendley +5 more
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